343/338

Interval information

Ratio	343/338
Factorization	2-1 × 73 × 13-2
Monzo	[-1 0 0 3 0 -2⟩
Size in cents	25.4224¢
Name	sooty fox comma
Color name	3uuz32, thuthutrizo 2nd
FJS name	[math]\displaystyle{ \text{M2}^{7,7,7}_{13,13} }[/math]
Special properties	reduced
Tenney height (log2 nd)	16.8229
Weil height (log2 max(n, d))	16.8441
Wilson height (sopfr(nd))	49
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.2666 bits
Comma size	small
S-expression	S142 × S15
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343/338, the sooty fox comma is a 13-limit interval of 25.422 cents, is the amount by which three 8/7s and two 13/8s fall short of two octaves. Alternatively, it is the amount by which three 7/4s exceed two 13/8s plus an octave.

It is tempered by 19edo.

Etymology

The comma is named after the Aleutian sooty fox sparrow, taxa #343388 on iNaturalist.

It was named by Budjarn Lambeth in 2024, but he retracted the name one day later out of fear that it would be poorly received due to its arbitrary nature. However, another editor added the name back two months later, which Lambeth and others did not oppose, so the name stuck.

See also

• Comma
• Sooty fox scale – equal divisions of 343/338